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Published in:
2017 | OriginalPaper | Chapter
Computing Residues (Continued). Computing Integrals over the Real Line Using Contour Integration. The Argument Principle
Author : Alexander Isaev
Published in: Twenty-One Lectures on Complex Analysis
Publisher: Springer International Publishing
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The field of complex numbers, or the complex plane, denoted by $$ \mathbb{C} $$, is just the usual Euclidean plane $$ \mathbb{R}^{2} $$ endowed with the additional operation of multiplication of vectors defined as follows: for (x1;y1) and (x2,y2) in $$ \mathbb{R}^{2} $$ let $$ $$ Notice that if y1 = 0, the above operation is simply the scaling of the vector (x2,y2) by x1.